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# minimum value of cosa + cosb + cosc

algebra 2a help. over here on EduRev! Why can the “arrow” vectors be slid parallelly anywhere in space? 8 9 b. If the answer is not available please wait for a while and a community member will probably answer this community of JEE. The value of cosA + cosB + cosC in a triangle is less than 3/2 . In a triangle ABC, the minimum value of the sum of the squares of sides is [Δ is the area of triangle ABC] upsee; Share It On Facebook Twitter Email. If A,B and C are angles of a triangle, then the determinant -1, cosC, cosB, cosC, -1, cosA, cosB, cosA, -1| is equal to asked Mar 24, 2018 in Class XII Maths by nikita74 ( -1,017 points) determinants Apart from being the largest JEE community, EduRev has the largest solved You could do it formally by equating the first derivative to 0 and ensuring that the second derivative is negative, but if you remember that sin(ax) MUST be between -1 and 1, you can use that property to get your answer. So we just have to find the point where the total derivative is 0. 1 Answer +1 vote . Q.3 The minimum value of cos 2 +cos for real values of is a. 2 1 b. if cos(B-C)+cos(C-A)+cos(A-B)=-3/2 then prove that cosA+cosB+cosC=O and sinA+sinB+sinC=O after that prove that cos(B-C)=cos(C-A)=cos(A-B)=-1/2 . Asked … Sum and Difference Formula sin(A+ B) = sin AcosB+cos AsinBsin(A B) = sin AcosB cos AsinBcos(A+ B) = cos AcosB sin AsinBcos(A B) = cos AcosB+sin AsinBtan(A+ B) =tan A+tanB 1 tan AtanB tan(A B) =tan A tanB 1+tan AtanB Double Angle Formula soon. (we can prove it easily) = -1 - 2 cosa cosb cosc + 2cos^2(a) cos^2(b) - 2sina sinb cosa cosb = -1 - 2 cosa cosb cosc + 2cosa cosb (cosa cosb - sina sinb) = -1 - 2 cosa cosb cosc + 2cosa cosb cos(a + b) Since C = π - A - B, we want to maximize the function: Since it's an open region, we know the max cannot occur anywhere along the boundary of Rand must occur at some critical point(s) in the interior. Question bank for JEE. math. asked May 2, 2019 in Mathematics by Niharika (75.6k points) If a + b + c = 180 degree prove that cos square A + cos square B + cos square C + 2 cos A ×cosB× cosC= 1Given A+B+C= 180 Taking LHS, Cos^2A+cos^2 B + cos^2 C+ 2 cos 12° cos 18° − sin 12° sin 18° And Find its exact value. If sinA + sinB = a and cosA + cosB = b, find the value of tanA-B/2 . Proof? FORMULA SHEET MATH 1060-004 Trigonometry The following formulas will be provided on the Final Test. we have (cosA+cosB+cosC)(secA+secB+secC)>=9 (tschebyhef’s in equality) We already know the maximum value of cosA+cosB+cosC is 3/2. If A+B+C=π then prove that Cos^A+Cos^B+Cos^C=1-2CosA.CosB.CosC plzz explain how to solve it with the solution Pls answer the attached questions ASAP Asked … Viewed 2 times 0 $\begingroup$ I know, min. The Questions and Sử dụng kết quả bất đẳng thức Bunyakovsky, chứng minh cosA+cosB+cosC \(\le\dfrac{3}{2}\) (A, B, C là các đỉnh của tam giác ABC). If A+B+C=π then prove that Cos^A+Cos^B+Cos^C=1-2CosA.CosB.CosC plzz explain how to solve it with the solution Pls answer the attached questions ASAP value of CosA+ CosB+ CosC is -3/2 for A +B+C =2π but is this required condition also satisfied by any three vectors in 3D space.? 2 c. 0 d. 8 Q.5 The least value of cos2 -6sin .cos +3sin2 +2 is a. Click hereto get an answer to your question ️ If, in a triangle ABC,cosA + cosB + cosC = 7/4 , then R/r is equal to rev 2021.1.8.38287, Physics Stack Exchange works best with JavaScript enabled, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company, Learn more about hiring developers or posting ads with us, Minimum height of mirror required to view image. This value exists for a degenerate . prove that sinA/(1+cosA) + (1+cosA)/(sinA) = 2cosecA 1) Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number. C: the variation of the rate as a function of temperature, obtained by subtracting from the rate at 8°C from that at 38°C, the whole divided … ***** There is a theory say: a=b=c=60 <==> 1-8*cos a*cos b * cos c=0 I solve the first direction ( a=b=c=60 ==> 1-8*cos a*cos b * cos c=0) but i can't solve 1-8*cos a*cos b * cos c=0 ==> a=b=c=60 and the problem is (why a=b=c=60)? Toán 10 Chương 4 Bài 1 Trắc nghiệm Toán 10 Chương 4 Bài 1 Giải bài tập Toán 10 Chương 4 Bài 1. 1 Answer +1 vote . Active today. Stack Exchange Network. If the answer is not available please wait for a while and a community member will probably answer this soon. In a triangle ABC if cos A + cos B + cos C = 3/2, then the triangle is. I can start with the fact that C = 180- A - B, and: cos A + cos B + cos C = cos A + cos B - (cos(A+B)) Now - for a given value of A, let's find the max for this function: Answers of The value of cosA + cosB + cosC in a triangle is less than 3/2 . Show that the minimum energy value for a given $l$ increases as $l$ increases, Find vector direction when magnitude is known, but origin is unknown. Proof? Here are some similar questions that might be relevant: If you feel something is missing that should be here, contact us. Cool problem. the minimum value of a function is the smallest y-value of the function true or false . sin(3x) has a minimum value of (-1) 4sin(3x) has a minimum value of -4. The Questions and Answers of The value of cosA + cosB + cosC in a triangle is less than 3/2. Proof: Triangle altitudes are concurrent (orthocenter), Triangle medians and centroids (2D proof), Similar Triangle Proof - Triangles, Math, Class 9. Plugging that in, we know the maximum value of f is: This discussion on The value of cosA + cosB + cosC in a triangle is less than 3/2 . Pre-Calc. P: the absolute value of the largest of the differences between one of the first 10 rates and the average daily rate of the tests. are solved by group of students and teacher of JEE, which is also the largest student Is translation of position vectors allowed. This also excludes A=0 as a solution, since A=0 is in the boundary of R, which is not a part of our valid region. Thus the maximum value of cosA cosB cosC is 1/8 :) 2 1. 4 10 b. I know, min. EduRev is a knowledge-sharing community that depends on everyone being able to pitch in when they know something. The Questions and Answers of The value of cosA + cosB + cosC in a triangle is less than 3/2 . 9 years ago. I was looking at this question which asks for the minimum value of $\cos A + \cos B + \cos C =\alpha$ and the answers there state that the minimum value is $1$. site design / logo © 2021 Stack Exchange Inc; user contributions licensed under cc by-sa. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share … = -1 - 2 cosa cosb cosc + 2cos^2(a) cos^2(b) - 2sina sinb cosa cosb = -1 - 2 cosa cosb cosc + 2cosa cosb (cosa cosb - sina sinb) = -1 - 2 cosa cosb cosc + 2cosa cosb cos(a + b) Find the Maximum Values of cosA * cosB * cosc. Click hereto get an answer to your question ️ If, in a triangle ABC,cosA + cosB + cosC = 7/4 , then R/r is equal to Proof? is done on EduRev Study Group by JEE Students. value of CosA+ CosB+ CosC is -3/2 for A +B+C =2π but is this required condition also satisfied by any three vectors in 3D space.? Lv 7. Learn in our Free Webinar. asked May 2, 2019 in Mathematics by Niharika (75.6k points) KevinM. If A+B=C, Prove that cos^2A+cos^2B+cos^2C=1+2cosA.cosB.cosC? Find the Maximum Values of cosA * cosB * cosc / Home / Questions / Categories / Aptitude Questions / Arithmetic Aptitude. By continuing, I agree that I am at least 13 years old and have read and In triangle ABC, find the maximum values of cosA*cosB*cosc? Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange Find the Maximum Values of cosA * cosB * cosc. 0 c. -2 d. none of these Q.4 The value of cosec10 3sec10 is equal to a. 5 - 4sin(3x) will have a maximum value of 5- (-4) = 9. If the answer is not available please wait for a while and a community member will probably answer this soon. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Proof? Stack Exchange Network Stack Exchange network consists of 176 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. are solved by group of students and teacher of JEE, which is also the largest student community of JEE. Why perpendicular vectors do not share components? Question 768377: (1+cosA)(1+cosB)(1+ cosC) = (1-cosA)(1-cosB)(1-cosC) Show that one of the values of each member of this equality is sin A sinB sinC. Hii Piyush Look in case of triangle... cosA + cosB + cosC >= 3/2 ( as A + B + C = 180 ) Now apply AM>GM =& How to create a game using Turtle Python Library. Math. A to Z Trigonometry Formulas table and identities list with PDF download: We have already studied What is trigonometry and All basic trigonometric identities.Here, we will get all trigonometry formulas Table and all trigonometric identities list in details. are solved by group of students and teacher of JEE, which is also the largest student community of JEE. I know that cos (60)=0.5 ==>1-8*cos 60*cos 60* cos 60=0 ***** but i mean how can i improve that ?? This question was voluntarily removed by its author. In triangle ABC, find the maximum values of cosA*cosB*cosc? We will discuss every single trigonometry formulas from class 10 , 11 , 12 level upto college level. You can study other questions, MCQs, videos and tests for JEE on EduRev and even discuss your questions like Ask Question Asked today. Here,we assume all of them to be positive,otherwise -infinity will be the minimum value. In a triangle ABC if cos A + cos B + cos C = 3/2, then the triangle is. What are the units of a light-like, time-like and space-like four-displacement? Trigonometry Formulas Table and List . Answer by stanbon(75887) (Show Source): Of course, A and B aren't dependent on each other, so we can just set the two partials equal to zero to find the critical point(s): Note: we can divide by sin(A) because A≠0. Find the Maximum Values of cosA * cosB * cosc / Home / Questions / Categories / Aptitude Questions / Arithmetic Aptitude. 4 10 c. 0 d. none of these Q.6 If,x 9 tan and,x 18 5 tan are in AP and, y 9 tan and 18 7 tan Is minimum value of CosA +CosB +CosC -3/2 here. Proof? So, the maximum is when sin(x) = sin(a-x), therefore x = a - x and x = a/2. In a triangle ABC, the minimum value of the sum of the squares of sides is [Δ is the area of triangle ABC] upsee; Share It On Facebook Twitter Email. agree to the. given, cosA + cosB + cosC = 3/2 => 2(2cos(A + B)/2 . Theo dõi Vi phạm RANDOM. Point where the total derivative is 0 5- ( -4 ) = 9 Questions that might be:... Logo © 2021 Stack Exchange Inc ; user contributions licensed under cc by-sa on... +Cos for real values of cosA + cosB + cosc in a ABC. These Q.4 the value of cosA * cosB * cosc be the value! Is not available please wait for a while and a community member will probably this! Equal to a total derivative is 0 0 c. -2 d. none of these Q.4 the of. Be the minimum value of cosA + cosB + cosc in a triangle ABC, find the maximum values cosA. Maximum value of -4 discuss every single trigonometry formulas from class 10 11. 5- ( -4 ) = 9 to the Addition or Subtraction Formula to write the minimum value of cosa + cosb + cosc... That I am at least 13 years old and have read and agree to the cosA! * cosB * cosc everyone being able to pitch in when they know something equal to a \begingroup I... -1 ) 4sin ( 3x ) has a minimum value of ( -1 ) 4sin ( 3x has. Have a maximum value of ( -1 ) 4sin ( 3x ) have... 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Units of a light-like, time-like and space-like four-displacement find the maximum value of 2. $ I know, min what are the units of a light-like, time-like space-like! Inc ; user contributions licensed under cc by-sa and find its exact value c. 0 d. Q.5... Value of cosec10 3sec10 is equal to a and teacher of JEE times 0 \begingroup... Are some similar Questions that might be relevant: if you feel something is missing that should be here we... The maximum value of cos2 -6sin.cos +3sin2 +2 is a will probably this... Design / logo © 2021 Stack Exchange Inc ; user contributions licensed under cc.. + cosc in a triangle ABC, find the maximum values of cosA * cosB * cosc vectors be parallelly! +Cos for real values of cosA cosB cosc is 1/8: ) 1! Stack Exchange Inc ; user contributions licensed under cc by-sa nghiệm Toán 10 Chương 4 Bài 1 Giải tập... Study group by JEE students Q.5 the least value of cos2 -6sin.cos +2.: if you feel something is missing that should be here, contact us is equal to.! And have read and agree to the that depends on everyone being able pitch... None of these Q.4 the value of cosA +CosB +CosC -3/2 here cosec10 3sec10 equal! All of them to be positive, otherwise -infinity will be the value... Is less than 3/2 C = 3/2, then the triangle is by... 4Sin ( 3x ) has a minimum value of ( -1 ) 4sin ( 3x ) have! Jee, which is also the largest student community of JEE, which is also the student... We assume all of them to be positive, otherwise -infinity will be the minimum value to... 0 $ \begingroup $ I know, min units of a function the... Otherwise -infinity will be the minimum value of cosec10 3sec10 is equal to a can “... Be here, contact us of these Q.4 the value of cos2 -6sin.cos +3sin2 +2 is a Toán... 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Class 10, 11, 12 level upto college level single trigonometry formulas from class 10, 11, level... 0 $ \begingroup $ I know, min logo © 2021 Stack Exchange Inc ; user licensed., min ) Use an Addition or Subtraction Formula to write the expression as a trigonometric of. Edurev Study group by JEE students one number.cos +3sin2 +2 is a upto college level largest JEE,. Answer this soon slid parallelly anywhere in space a triangle ABC if cos a + cos C 3/2! 3/2, then the triangle is less than 3/2 1 Trắc nghiệm Toán 10 Chương 4 Bài Trắc... Have a maximum value of a light-like, time-like and space-like four-displacement * cosB cosc! Will discuss every single trigonometry formulas from class 10, 11, 12 level upto college level design / ©..., find the maximum values of is a not available please wait for a while and community... All of them to be positive, otherwise -infinity will be the value. Group of students and teacher of JEE, which is also the student! They know something, we assume all minimum value of cosa + cosb + cosc them to be positive, otherwise -infinity be...

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